About the Number 3,996 (three thousand nine hundred ninety-six)

BAB# 3995 was posted on 25 July 2014. MathBabbler decided to create nBABs for the numbers 3996, 3997, 3998, and 3999. The number 4000 has a nBAB.

MathBabbler Number Analyst (MBNA) output:
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3996 is a natural, whole, integer
3996 is even
3996 proper divisors are: 1,2,3,4,6,9,12,18,27,36,37,54,74,108,
                          111,148,222,333,444,666,999,1332,1998,
3996 has 23 proper divisors
3996 is abundant (sum of divisors is 6644; ratio: 1.66266)
3996 is unhappy
3996 is not a Squarefree Number: 4,9,36,
3996 is Harshad (Niven) number
3996 is composite (not prime)
3996 has the prime factors: 2*2*3*3*3*37 (sum=50)
3996 is the sum of 22 consecutive primes
3996 = 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 
       167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 
       211 + 223 + 227 + 229 + 233 + 239
3996 in octal is 07634
3996 in hexadecimal is 0xf9c
3996 in binary is 111110011100 (is evil)
3996 nearest square numbers: -27...100 (3969...4096 [64])
sqrt(3996) = 63.2139
ln(3996) = 8.29305
log(3996) = 3.60163
3996 reciprocal is .00025025025025025025025025025025
3996 is 1271.97 Pi years
3996 is 199 score and 16 years
3996 written as a Roman numeral is MMMCMXCVI
3996 is 1000^2 - 998^2 and 2 * (1000 + 998)
3996 is a multiple of 3 & it contains a 3 (A121023)
3996 is a multiple of 6 & it contains a 6 (A121026)
3996 is a multiple of 9 & it contains a 9 (A121029)

log14(3996) = 3.14243, which when rounded to the hundredth is Pi rounded to the nearest hundreth.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 25 July 2014 (posted 26 July 2014)

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This work is licensed under a Creative Commons Attribution 3.0 United States License.